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Publication Cover
Applicable Analysis
An International Journal
Volume 58, 1995 - Issue 1-2
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Original Articles

Effective model of two-phase flow in a porous medium made of different rock types

Alain Bourgeat Equipe d'Analyse Numkrique, Universitk de Saint-Etienne, 42023, FranceView further author information
&
Abdelkader Hidanl Equipe d'Analyse Numkrique, Universitk de Saint-Etienne, 42023, France
Pages 1-29 | Received 10 Apr 1994, Published online: 02 May 2007

Citations (19)

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Yun-Xiao Ding, An-Feng Shi, Hai-Shan Luo & Xiao-Hong Wang. (2016) Adaptive mesh refinement for non-isothermal multiphase flows in heterogeneous porous media comprising different rock types with tensor permeability. Numerical Heat Transfer, Part A: Applications 69:1, pages 31-50.
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Brahim Amaziane & Bienvenu Ondami. (2004) Homogenization of a three-phase flow model in porous media. Applicable Analysis 83:7, pages 649-660.
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Articles from other publishers (17)

Tufan Ghosh, Carina Bringedal, Rainer Helmig & G.P. Raja Sekhar. (2020) Upscaled equations for two-phase flow in highly heterogeneous porous media: Varying permeability and porosity. Advances in Water Resources 145, pages 103716.
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Patrick Henning, Mario Ohlberger & Ben Schweizer. (2014) Adaptive heterogeneous multiscale methods for immiscible two-phase flow in porous media. Computational Geosciences 19:1, pages 99-114.
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E. Ahusborde, B. Amaziane & M. Jurak. (2014) Three-dimensional numerical simulation by upscaling of gas migration through engineered and geological barriers for a deep repository for radioactive waste. Geological Society, London, Special Publications 415:1, pages 123-141.
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Brahim Amaziane, Leonid Pankratov & Andrey Piatnitski. (2014) Homogenization of immiscible compressible two-phase flow in highly heterogeneous porous media with discontinuous capillary pressures. Mathematical Models and Methods in Applied Sciences 24:07, pages 1421-1451.
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Boris Andreianov & Clément Cancès. (2014) A phase-by-phase upstream scheme that converges to the vanishing capillarity solution for countercurrent two-phase flow in two-rock media. Computational Geosciences 18:2, pages 211-226.
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PATRICK HENNING, MARIO OHLBERGER & BEN SCHWEIZER. (2013) HOMOGENIZATION OF THE DEGENERATE TWO-PHASE FLOW EQUATIONS. Mathematical Models and Methods in Applied Sciences 23:12, pages 2323-2352.
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I. Mozolevski & L. Schuh. (2013) Numerical simulation of two-phase immiscible incompressible flows in heterogeneous porous media with capillary barriers. Journal of Computational and Applied Mathematics 242, pages 12-27.
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Clément Cancès & Michel Pierre. (2012) An Existence Result for Multidimensional Immiscible Two-Phase Flows with Discontinuous Capillary Pressure Field. SIAM Journal on Mathematical Analysis 44:2, pages 966-992.
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A. Ern, I. Mozolevski & L. Schuh. (2010) Discontinuous Galerkin approximation of two-phase flows in heterogeneous porous media with discontinuous capillary pressures. Computer Methods in Applied Mechanics and Engineering 199:23-24, pages 1491-1501.
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B. Amaziane, S. Antontsev, L. Pankratov & A. Piatnitski. (2010) Homogenization of Immiscible Compressible Two-Phase Flow in Porous Media: Application to Gas Migration in a Nuclear Waste Repository. Multiscale Modeling & Simulation 8:5, pages 2023-2047.
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Alain Bourgeat & Mladen Jurak. (2009) A two level scaling-up method for multiphase flow in porous media; numerical validation and comparison with other methods. Computational Geosciences 14:1, pages 1-14.
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Brahim Amaziane & Joe Koebbe. (2006) JHomogenizer: a computational tool for upscaling permeability for flow in heterogeneous porous media. Computational Geosciences 10:4, pages 343-359.
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Behzad Ataie-Ashtiani, S. Majid Hassanizadeh & Michael A. Celia. (2002) Effects of heterogeneities on capillary pressure–saturation–relative permeability relationships. Journal of Contaminant Hydrology 56:3-4, pages 175-192.
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M.A. Christie. (2001) Flow in porous media — scale up of multiphase flow. Current Opinion in Colloid & Interface Science 6:3, pages 236-241.
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B. Ataie-Ashtiani, S.M. Hassanizadeh, M. Oostrom, M.A. Celia & M.D. White. (2001) Effective parameters for two-phase flow in a porous medium with periodic heterogeneities. Journal of Contaminant Hydrology 49:1-2, pages 87-109.
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Ph. Renard & G. de Marsily. (1997) Calculating equivalent permeability: a review. Advances in Water Resources 20:5-6, pages 253-278.
Crossref
A. Badea & A. Bourgeat. 1997. Modeling and Computation in Environmental Sciences. Modeling and Computation in Environmental Sciences 13 24 .

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